A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1, calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant is 5.67 x 10-8 W/(m².K4).

A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1, calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant is 5.67 x 10-8 W/(m².K4).

Astronomy

1st Edition

ISBN:9781938168284

Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Publisher:Andrew Fraknoi; David Morrison; Sidney C. Wolff

Chapter5: Radiation And Spectra

Section: Chapter Questions

Problem 45E: If the emitted infrared radiation from Pluto, has a wavelength of maximum intensity at 75,000 nm,...

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Concept explainers

Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.

Question

A certain star's power output is 2.9 x 1026 W. Assuming an ideal radiator with e = 1,
calculate its radius in km if its temperature is 5,720 K. The Stefan-Boltzmann constant
is 5.67 x 10-8 W/(m².K4).
R =
>
_km
616,612 margin of error +/- 1%

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